Question 1

Solve using the multiplication principle.
-$$\frac { - t } { 4 } = 14$$

Accepted Answer

A)  $- 56$ 
B)  $- 18$ 
C)  $- 52$ 
D)  $- 42$ 
A)  $- 56$ 
B)  $- 18$ 
C)  $- 52$ 
D)  $- 42$

Question 2

Solve using the multiplication principle.
-3b = -33

Accepted Answer

A) 36 
B) 1 
C) -36 
D) -11 
A) 36 
B) 1 
C) -36 
D) -11

Question 3

Solve the problem.
-Jon has 1035 points in his math class. He must have 87% of the 1400 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the
Term to receive credit for the class?

Accepted Answer

A) 365 points 
B) 183 points 
C) 900 points 
D) 1218 points 
A) 365 points 
B) 183 points 
C) 900 points 
D) 1218 points

Question 4

Solve using the multiplication principle.
-$$- \frac { 1 } { 3 } y = 16$$

Accepted Answer

A)  -19 
B)  $- 32$ 
C)  $- 48$ 
D)  $- 45$ 
A)  -19 
B)  $- 32$ 
C)  $- 48$ 
D)  $- 45$

Question 5

Solve using the multiplication principle.
-$$- 4 n < - \frac { 1 } { 6 }$$

Accepted Answer

A)  $\left\{ \mathrm { n } \mid \mathrm { n }  - \frac { 1 } { 24 } \right\}$ 
C)  $\left\{ \mathrm { n } \mid \mathrm { n }  \frac { 1 } { 24 } \right\}$ 
A)  $\left\{ \mathrm { n } \mid \mathrm { n }  - \frac { 1 } { 24 } \right\}$ 
C)  $\left\{ \mathrm { n } \mid \mathrm { n }  \frac { 1 } { 24 } \right\}$

Question 6

Solve the problem.
-One side of a triangle is 4 cm shorter than the base, x. The other side is 6 cm longer than the base. What lengths of the base will allow the perimeter of the triangle to be at least 44 cm?

Accepted Answer

A)  $x \geq 14$ 
B)  $0  10$ 
A)  $x \geq 14$ 
B)  $0  10$

Question 7

Solve the problem. Round to the nearest hundredth, if necessary.
-What is 38% of 1679?

Accepted Answer

A) 6380.2 
B) 63,802 
C) 63.8 
D) 638.02 
A) 6380.2 
B) 63,802 
C) 63.8 
D) 638.02

Question 8

Solve using the multiplication principle.
-2.9t = -20.3

Accepted Answer

A) -17.4 
B) -13.3 
C) $-\frac{1}{7}$ 
D) -7 
A) -17.4 
B) -13.3 
C) $-\frac{1}{7}$ 
D) -7

Question 9

Determine whether the given number is a solution of the inequality.
-$$x \leq 2 , - 9.55$$

Accepted Answer

A) True 
 B)False

Question 10

Solve using the multiplication principle.
-$$- \frac { 4 } { 15 } y = - \frac { 16 } { 9 }$$

Accepted Answer

A)  $\frac { 15 } { 16 }$ 
B)  $\frac { 5 } { 12 }$ 
C)  $\frac { 20 } { 3 }$ 
D)  $\frac { 16 } { 15 }$ 
A)  $\frac { 15 } { 16 }$ 
B)  $\frac { 5 } { 12 }$ 
C)  $\frac { 20 } { 3 }$ 
D)  $\frac { 16 } { 15 }$

Question 11

Solve the problem.
-Sarah left a 15% tip of $10.20 for a meal. What was the cost of the meal before the tip?

Accepted Answer

A) $78.20 
B) $20.40 
C) $68.00 
D) $1.53 
A) $78.20 
B) $20.40 
C) $68.00 
D) $1.53

Question 12

Solve.
-$$- 2 ( x + 5 ) = 13 - 6 ( x + 1 )$$

Accepted Answer

A)  10 
B)  4 
C)  2 
D)  16 
A)  10 
B)  4 
C)  2 
D)  16

Question 13

Solve the equation using the addition principle.
--16.9 = 21.9 + z

Accepted Answer

A) -38.8 
B) 38.8 
C) 5 
D) -5 
A) -38.8 
B) 38.8 
C) 5 
D) -5

Question 14

Solve.
-11x + 4x = 30

Accepted Answer

A)  15 
B)  $\frac { 30 } { 11 }$ 
C)  $\frac { 15 } { 22 }$ 
D)  2 
A)  15 
B)  $\frac { 30 } { 11 }$ 
C)  $\frac { 15 } { 22 }$ 
D)  2

Question 15

Solve.
-In West Arlington, taxis charge $\$ 3.00$ plus $50 \$$ per mile for an airport pickup. How far from the airport can Amy travel for $\$ 10.50$ ? (Hint: $50 \mathfrak { c } = \$ 0.50$ )

Accepted Answer

A)  $5.25 \mathrm { mi }$ 
B)  $42 \mathrm { mi }$ 
C)  $21 \mathrm { mi }$ 
D)  $15 \mathrm { mi }$ 
A)  $5.25 \mathrm { mi }$ 
B)  $42 \mathrm { mi }$ 
C)  $21 \mathrm { mi }$ 
D)  $15 \mathrm { mi }$

Question 16

Solve using the multiplication principle.
-$$- \frac { 2 } { 5 } t = \frac { 5 } { 9 }$$

Accepted Answer

A)  $\frac { 25 } { 18 }$ 
B)  $= \frac { 25 } { 9 }$ 
C)  $= \frac { 18 } { 25 }$ 
D)  $= \frac { 25 } { 18 }$ 
A)  $\frac { 25 } { 18 }$ 
B)  $= \frac { 25 } { 9 }$ 
C)  $= \frac { 18 } { 25 }$ 
D)  $= \frac { 25 } { 18 }$

Question 17

Solve using the multiplication principle.
-$30 x - 5 > 5 ( 5 x - 4 )$

Accepted Answer

A)  $\{ x \mid x \leq - 3 \}$ 
B)  $\{ x \mid x  - 3 \}$ 
D)  $\{ x \mid x \geq - 3 \}$ 
A)  $\{ x \mid x \leq - 3 \}$ 
B)  $\{ x \mid x  - 3 \}$ 
D)  $\{ x \mid x \geq - 3 \}$

Question 18

Solve using the multiplication principle.
-$4 \mathrm { y } - 1 \geq 5 \mathrm { y } - 7$

Accepted Answer

A)  $\{ y \mid y \leq 6 \}$ 
B)  $\{ y \mid y \leq 4 \}$ 
C)  $\{ y \mid y \geq - 6 \}$ 
D)  $\{ y \mid y > 4 \}$ 
A)  $\{ y \mid y \leq 6 \}$ 
B)  $\{ y \mid y \leq 4 \}$ 
C)  $\{ y \mid y \geq - 6 \}$ 
D)  $\{ y \mid y > 4 \}$

Question 19

Solve.
-$V = \frac { 1 } { 3 } B h$ for $h$

Accepted Answer

A)  $h = \frac { 3 B } { V }$ 
B)  $h = \frac { V } { 3 B }$ 
C)  $h = \frac { B } { 3 V }$ 
D)  $h = \frac { 3 V } { B }$ 
A)  $h = \frac { 3 B } { V }$ 
B)  $h = \frac { V } { 3 B }$ 
C)  $h = \frac { B } { 3 V }$ 
D)  $h = \frac { 3 V } { B }$

Question 20

Solve the problem.
-A chemical solution contains 3% salt. How much salt is in 4 mL of solution?

Accepted Answer

A) 1.2 mL 
B) 133.333 mL 
C) 13.333 mL 
D) 0.12 mL 
A) 1.2 mL 
B) 133.333 mL 
C) 13.333 mL 
D) 0.12 mL

Solve using the multiplication principle. - $\frac { - t } { 4 } = 14$

Solve using the multiplication principle. -3b = -33

Solve the problem. -Jon has 1035 points in his math class. He must have 87% of the 1400 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the Term to receive credit for the class?

Solve using the multiplication principle. - $- \frac { 1 } { 3 } y = 16$

Solve using the multiplication principle. - $- 4 n < - \frac { 1 } { 6 }$

Solve the problem. -One side of a triangle is 4 cm shorter than the base, x. The other side is 6 cm longer than the base. What lengths of the base will allow the perimeter of the triangle to be at least 44 cm?

Solve the problem. Round to the nearest hundredth, if necessary. -What is 38% of 1679?

Solve using the multiplication principle. -2.9t = -20.3

Determine whether the given number is a solution of the inequality. - $x \leq 2 , - 9.55$

Solve using the multiplication principle. - $- \frac { 4 } { 15 } y = - \frac { 16 } { 9 }$

Solve the problem. -Sarah left a 15% tip of $10.20 for a meal. What was the cost of the meal before the tip?

Solve. - $- 2 ( x + 5 ) = 13 - 6 ( x + 1 )$

Solve the equation using the addition principle. --16.9 = 21.9 + z

Solve. -11x + 4x = 30

Solve. -In West Arlington, taxis charge $\$ 3.00$ plus $50 \$$ per mile for an airport pickup. How far from the airport can Amy travel for $\$ 10.50$ ? (Hint: $50 \mathfrak { c } = \$ 0.50$ )

Solve using the multiplication principle. - $- \frac { 2 } { 5 } t = \frac { 5 } { 9 }$

Solve using the multiplication principle. - $30 x - 5 > 5 ( 5 x - 4 )$

Solve using the multiplication principle. - $4 \mathrm { y } - 1 \geq 5 \mathrm { y } - 7$

Solve. - $V = \frac { 1 } { 3 } B h$ for $h$

Solve the problem. -A chemical solution contains 3% salt. How much salt is in 4 mL of solution?

Introduction to Real Numbers and Algebraic Expressions

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

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Exam 2: Solving Equations and Inequalities

Solve using the multiplication principle. - −t4=14\frac { - t } { 4 } = 144−t​=14